An existence result of energy minimizer maps between riemannian polyhedra
Differential Geometry
2016-09-07 v4
Abstract
In this paper, we prove the existence of energy minimizers in each free homotopy class of maps between polyhedra with target space without focal points. Our proof involves a careful study of some geometric properties of riemannian polhyedra without focal points. Among other things, we show that on the relevant polyhedra, there exists a convex supporting function.
Keywords
Cite
@article{arxiv.math/0408248,
title = {An existence result of energy minimizer maps between riemannian polyhedra},
author = {Taoufik Bouziane},
journal= {arXiv preprint arXiv:math/0408248},
year = {2016}
}
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15 pages